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Popular >

simplify (5^{(2x)/3})^6

Solution

simplify

(5^{\frac{2 x}{3}})^{6}

Solution

62 5^{x}

Solution steps

(5^{\frac{2 x}{3}})^{6}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 5^{\frac{2 x}{3} \cdot 6}

Simplify

\frac{2 x}{3} \cdot 6 : 4 x

= 5^{4 x}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

5^{4 x} = (5^{4})^{x}

= (5^{4})^{x}

5^{4} = 625

= 62 5^{x}

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\frac{5 ^{5}}{5 !} e^{- 5}

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4 x^{2} - 3 x = 0

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Frequently Asked Questions (FAQ)

What is (5^{(2x)/3})^6 ?
The solution to (5^{(2x)/3})^6 is 625^x